CBSE · Class 10 · Mathematics · Real NumbersWhich of the following numbers is irrational?
Step-by-Step Solution
An irrational number cannot be expressed as a simple fraction. Among the options, $\sqrt{4} = 2$ (rational), $\sqrt{9} = 3$ (rational), and $\sqrt{25} = 5$ (rational). However, $\sqrt{7}$ cannot be simplified to a rational number, making it an irrational number.
Detailed Options Breakdown
Option : \sqrt{4}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 1: \sqrt{7} (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: \sqrt{9}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
Option 3: \sqrt{25}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Real Numbers.
💡 Study Guide: This question tests core syllabus concepts from Real Numbers. For formulas, key summaries, and mock exam reference guides, read the full Real Numbers Revision Notes.